A362587 a(n) = 2^n * A094088(n). Row sums of A362586.

1, 2, 28, 968, 62512, 6487712, 987533248, 207257057408, 57359688424192, 20240182500956672, 8869195638810631168, 4725115451770644482048, 3007722163880719988764672, 2254432760608214922012434432, 1965374406868398554356767244288, 1971745067277979562424894483365888

Offset: 0

Author

Peter Luschny, Apr 26 2023

Keywords

• nonn

Crossrefs

Cf. A094088, A362586.

Programs

SageMath

def A362587(n) :
    @cached_function
    def f(n) :
        if n == 0 : return 1
        if n % 2 != 0 : return 0
        return sum(f(k) * binomial(n, k) for k in range(n)[::2])
    return 2^n * f(2 * n)
print([A362587(n) for n in range(16)])